33330400 has 72 divisors (see below), whose sum is σ = 82822824. Its totient is φ = 13094400.

The previous prime is 33330373. The next prime is 33330433. The reversal of 33330400 is 403333.

It is a super-2 number, since 2×33330400² = 2221831128320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48459 + ... + 49141.

It is an arithmetic number, because the mean of its divisors is an integer number (1150317).

Almost surely, 2^33330400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41411412).

33330400 is an abundant number, since it is smaller than the sum of its proper divisors (49492424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33330400 is a wasteful number, since it uses less digits than its factorization.

33330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 33330400 is about 5773.2486521888. The cubic root of 33330400 is about 321.8203542510.

Adding to 33330400 its reverse (403333), we get a palindrome (33733733).

The spelling of 33330400 in words is "thirty-three million, three hundred thirty thousand, four hundred".